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Finding the Third Proportional to 436,208 and 639,912

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Solution

The third proportional to 436,208 and 639,912 is: 938,743.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,208 : 639,912 = 639,912 : x
  2. Step 2: Convert to fraction form
    436,208/639,912 = 639,912/x
  3. Step 3: Cross multiply
    436,208x = 639,912 × 639,912
  4. Step 4: Simplify right side
    436,208x = 409,487,367,744
  5. Step 5: Solve for x
    x = 409,487,367,744/436,208
  6. Step 6: Final answer
    x = 938,743.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.